lance can paint the room 5 hours, while kim can paint the same room in 4 hours. how many hours would it take for them to paint the room together? question 19 options: 1) twenty ninths 2) nine twentieths 3) 9 4) 20

Zeros of the given polynomial are -2, 2, -3/2, 3/2

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)

1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0

4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0

(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0

(x+2)(x-2)(2x+3)(2x-3) = 0

x = -2, 2, -3/2, 3/2

Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2

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Answer:

(Choice C) C Replace one equation with a multiple of itself

Step-by-step explanation:

Since system A has the equations

-3x + 12y = 15 and 7x - 10y = -2 and,

system B has the equations

-x + 4y = 5 and 7x - 10 y = -2.

To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).

So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)

So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.

So, choice C is the answer.

We replace one equation with a multiple of itself.

Answer:

it is c and yes

Step-by-step explanation:

I got it in khan academy

Answer:

(12+17)-(3x2)

Step-by-step explanation:

Answer:

12+17-(3x2)

Step-by-step explanation:

You do multiblecation before addition so you put it in parenthesis

Answer:

False

Step-by-step explanation:

3 over 3 is equal to 1. So 1 multiplied to 1 over 3 would equal 1/3.

Answer:

Hm

Step-by-step explanation:

The bacteria population is observed to double after five days, which means that its growth rate is 100% over a period of five days. This corresponds to a daily growth rate of r = 100%/5 = 20%.

If the initial population is 10,000, then the bacteria population after d days can be modeled by the exponential function:

f(d) = 10,000 * (1 + r/100)^d

Substituting r = 20% and simplifying, we get:

f(d) = 10,000 * (1.2)^d

Therefore, the correct option is:

D. f(d) = 10,000 * (1.2)^d

1. Buddy is 1 out of 11 students in the classroom who are spreading Christmas Cheer. What percentage of the class is he?

He is 9% of the class that is spreading Christmas cheer.

2. Santa's sleigh has a Clausometer. The highest measure is 100%. If the Clausometer measured at 45. What would this number be represented as a decimal?

If the clausometer measured at 45 then this number as a decimal will be represented as 0.45.

3. The Jack-in-the-box toys had to be tested! The toys worked 0.985 of the time! What percentage of time did they work?

They worked 98.5% of the time

4. The guys handing out advertisement flyers have handed out 4/5 of their total flyers. What percentage of flyers has been handed out?

80% of flyers have been handed out.

5. When the lights go out in the store at night, there is a 15% off sign hanging up by the makeup counter. What is this number as a decimal and a fraction in simplest form?

This number as a decimal and a fraction in simplest form is 3/20 and 0.15.

Answer:

1. 9\(\frac{1}{11}\)%

2. 0.45

3. 98.5%

4. 80%

5. Decimal: 0.15, Fraction: \(\frac{3}{20}\)

Step-by-step explanation:

When calculating percentage, turn the question to a fraction and multiply the fraction by 100%.

When calculating decimal, turn the question to a fraction out of 100, and turn it into a decimal.

When calculating a fraction in its simplest form, turn the question to a fraction and simplify it.

1. (Percentage)

Fraction: \(\frac{1}{11}\)

Percentage: \(\frac{1}{11}\) × 100% = 9\(\frac{1}{11}\)%

2. (Decimal)

Fraction: \(\frac{45}{100}\)

Decimal: 45 ÷ 100 = 0.45

3. (Percentage)

Fraction: 0.985 = \(\frac{985}{1000}\)

Percentage: \(\frac{985}{1000}\) × 100% = 98.5%

4. (Percentage)

Fraction: \(\frac{4}{5}\)

Percentage: \(\frac{4}{5}\) × 100% = 80%

5. (Decimal)

Fraction: 15% = \(\frac{15}{100}\)

Decimal: 15 ÷ 100 = 0.15

5. (Fraction)

Fraction: \(\frac{15}{100}\)

Simplest form: \(\frac{15}{100}\) = \(\frac{3}{20}\) (Divide both numerators and denominators by 5)

Answer:

x = 54

Step-by-step explanation:

In this line, I am going to assume lines l and m are parallel.

Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.

180 - 116 = 64.

The other angle's total value must be 64.

Now, to solve for x, subtract 10 from 64 [inverse operations].

64-10=54

The value of x in this equation is 54 degrees.

Answer:

882 cubic ft.

Step-by-step explanation:

10.5 x 10.5 = 110.25

110.25 x 8 = 882 ft

Answer:

the volume of a room = 882 ft³

Step-by-step explanation:

given;

dimensions  of a room 10 1/2 ft. x 10 1/2 ft. x 8 ft.

find:

volume

volume = L x W x H

let L = 10 1/2 ft.

W = 10 1/2 ft.

H = 8 ft.

plugin values into the formula:

V = 10.5 x 10.5 x 8

V = 882 ft³

therefore,

the volume of a room = 882 ft³

The value if T(290) is 330.6

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.

Given:

T(x) = x + 0.14x

T ( 290)= 290+ 0.14* 290

            = 290+ 40.6

           = 330.6

Hence, the value of T(290) is 330.6.

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A linear regression model of the form Y = β0 + β1X + ε can be written as:

Yi = β0 + β1Xi + ei .

A linear regression model of the form Y = β0 + β1X + ε can be written as:

Yi = β0 + β1Xi + ei

Where ei is the residual for observation i. The plot of ei against Xi is known as a residual plot. The purpose of a residual plot is to check for non-linearity, unequal error variances, and outliers.

In this case, it appears that there is non-linearity present in the data. There appears to be a curved pattern in the residuals, suggesting that a linear regression model may not be the best approach to analyzing the relationship between Y and X. A transformation of the data, such as taking a logarithm of the variables, could potentially alleviate the non-linearity in the data.  This could potentially improve the fit of the linear regression model.

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The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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The amount of total cost at q* is 1.

To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):

TC(q) = 10 - 6q + q^2

To find the minimum point, we differentiate TC(q) with respect to q:

d(TC(q))/dq = -6 + 2q

Setting the derivative equal to zero and solving for q:

-6 + 2q = 0

2q = 6

q = 3

So the production level q* that minimizes the total cost is 3.

To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):

TC(q*) = 10 - 6(3) + (3)^2

TC(q*) = 10 - 18 + 9

TC(q*) = 1

Therefore, the amount of total cost at q* is 1.

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Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

Answer: 29/116

Step-by-step explanation:

Answer:

I don't think any of the answers here are right. They aren't a proportional relationship since they don't pass through the origin. So I would believe the answer would be C. Sorry if I'm wrong!!

Step-by-step explanation:

I learned about this stuff :D

Answer:

C, because you would need two numbers to find the slope of the graph.

Step-by-step explanation:

I had to take a minute to understand this question.

Answer:

b, a, c, b

Step-by-step explanation:

If the length of rectangular school hall is 4 times the width and the perimeter be 55m, then the length is 22m and the width of the school hall be 5.5m.

Given that the length of  rectangular school hall is 4 times the width.

We are required to find the length and breadth of the rectangle which has the length be 4 times the width.

Perimeter of rectangle is the sum of all the length and breadth of that rectangles.

Perimeter of rectangle is given as 55m

Perimeter=2(L+B)

let the width of rectangle be x.

Length of that rectangle be 4x.

According to question,

2(x+4x)=55

2*5x=55

10x=55

x=55/10

x=5.5 m

Width be 5.5 m.

Length of rectangle be 4*5.5=22m.

Hence if the length of rectangular school hall is 4 times the width then the length is 22m and the width of the school hall be 5.5m.

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By using the z value, it can be calculated that

P value for upper tail = 0.0455

P value for lower tail = 0.9545

P value for two tail  = 0.091

What is z value?

z value determines the number of standard deviation, the event is above the mean value. That means z value determines the distance of the event from the mean and it is measured in terms of Standard Deviation.

z value = 1.76

From the z table

P value for upper tail = 1 - 0.9545 = 0.0455

P value for lower tail = 0.9545

P value for two tail = 0.0455 \(\times\) 2 = 0.091

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Answer:

1111011 is greater than 143

Step-by-step explanation:

There is more than 1000000 difference.

Given system of linear equations is:$$ \begin{aligned} x_1 + x_2 + 8x_3 &= 20 \\ x_1 + 5x_2 - x_3 &= 10 \\ 4x_1 + 2x_2 + 6x_3 &= 12 \end{aligned} $$

To solve the system by Jacobi's iterative method, write each equation in terms of the corresponding variable (i.e., isolate each variable on the left-hand side of the equation) as follows:$$ \begin{aligned} x_1 &= 20 - x_2 - 8x_3 \\ x_2 &= 10 - x_1 + x_3 \\ x_3 &= \frac{12 - 4x_1 - 2x_2}{6} \\ \end{aligned} $$Using initial estimates of x as [0, 0, 0], start the iteration process:$$ \begin{aligned} \text{Iteration 1:} & & \\ x_1^{(1)} &= 20 - 0 - 8(0) = 20 \\ x_2^{(1)} &= 10 - 0 + 0 = 10 \\ x_3^{(1)} &= \frac{12 - 4(0) - 2(0)}{6} = 2 \\ \text{Iteration 2:} & & \\ x_1^{(2)} &= 20 - 10 - 8(2) = -6 \\ x_2^{(2)} &= 10 - (-6) + 2 = 18 \\ x_3^{(2)} &= \frac{12 - 4(-6) - 2(18)}{6} = -4 \\ \text{Iteration 3:} & & \\ x_1^{(3)} &= 20 - 18 - 8(-4) = -10 \\ x_2^{(3)} &= 10 - (-10) - 4 = 24 \\ x_3^{(3)} &= \frac{12 - 4(-10) - 2(24)}{6} = -10 \\ \text{Iteration 4:} & & \\ x_1^{(4)} &= 20 - 24 - 8(-10) = 102 \\ x_2^{(4)} &= 10 - (102) - 10 = -102 \\ x_3^{(4)} &= \frac{12 - 4(102) - 2(-102)}{6} = 34 \\ \text{Iteration 5:} & & \\ x_1^{(5)} &= 20 - (-102) - 8(34) = 302 \\ x_2^{(5)} &= 10 - (302) + 34 = -258 \\ x_3^{(5)} &= \frac{12 - 4(302) - 2(-258)}{6} = 110 \\ \end{aligned} $$The iteration stops when the error of each estimate is less than the tolerance of 10³. In this case, since the magnitude of the third estimate exceeds the tolerance, the process must continue until the tolerance is met:$$ \begin{aligned} \text{Iteration 6:} & & \\ x_1^{(6)} &= 20 - (-258) - 8(110) = 1,118 \\ x_2^{(6)} &= 10 - (1,118) + 110 = -998 \\ x_3^{(6)} &= \frac{12 - 4(1,118) - 2(-998)}{6} = 330 \\ \end{aligned} $$Therefore, the solution to the system of linear equations by Jacobi's iterative method with initial estimate [0, 0, 0] and tolerance of 10³ in the norm is:$$ \boxed{x \approx [1,118, -998, 330]} $$

The iterative method is used to solve a system of linear equations, as in the Jacobi iteration method. The method is used when the original method is not effective or too complex. Iterative techniques are popular because they can compute a large number of equations using a computer quickly and accurately.Jacobi's iterative method is a technique used to solve a set of linear equations with n variables that requires at least n iterations to converge. It works by isolating each variable on one side of the equation and then iteratively substituting the previous estimate of each variable into the corresponding equation until the estimated values converge within a certain tolerance.The iteration formula for Jacobi's method is given by$$ x_i^{(k+1)} = \frac{1}{a_{ii}} \left(b_i - \sum_{j=1, j \ne i}^{n} a_{ij} x_j^{(k)} \right) $$where k is the iteration number and x^(k) is the vector of previous estimates. In this formula, the diagonal element aii is isolated on one side of the equation, and the summation term represents the contribution of all other variables except xi. The previous estimate xi^(k) is then substituted into the equation to compute the updated estimate xi^(k+1).

Jacobi's method is a powerful tool for solving a system of linear equations with multiple variables. The method involves iterative substitution of the previous estimate of each variable into the corresponding equation until the estimated values converge within a certain tolerance. The process continues until the desired level of accuracy is reached. This method can be effectively used to solve many problems that would otherwise be too difficult or complex.

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ΔXYZ will also be an equilateral triangle.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean space, an equilateral triangle also is equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others. It's also referred to it as a regular triangle because it is a regular polygon.

As X,Y,Z are the midpoints of sides of equilateral triangle so when we will join the X,Y,Z we will find that distances XY=YZ=XZ are three are equal because this is proved by similarity of triangles which in itself is a detailed and vast topic

Hence XYZ will also be an equilateral triangle

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The volume of a right circular cylinder is an increasing function of the radius at a fixed height. So, the correct answer is option C. The volume is an increasing function because the partial derivative of V with respect to r is given dV/dr=2πrh.

The volume of a right circular cylinder with radius r and height h is given by V=πr^2h. To determine if the volume is an increasing or decreasing function of the radius at a fixed height, we need to find the partial derivative of V with respect to r.
The volume is an increasing function because the partial derivative of V with respect to r is given dV/dr=2πrh.
1. Start with the volume formula: V = πr^2h
2. Differentiate V with respect to r, keeping h constant: dV/dr = 2πrh
3. Since dV/dr is positive (2πrh > 0 for r > 0 and h > 0), the volume is an increasing function of the radius at a fixed height.

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Answer:

Option (1)

Step-by-step explanation:

\(\text{log}_4(x + 3)=\text{log}_2(2 + x)\)

\(\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}\)

\(\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}\)

System of equations can be written as,

\(y_1=\text{log}_4(x + 3)=\frac{\text{log}_{10}(x+3)}{\text{log}_{10}4}\)

\(y_2=\text{log}_2(2 + x)=\frac{\text{log}_{10}(2+x)}{\text{log}_{10}2}\)

Therefore, system of equations given in Option (1) is the correct option.

Answer:

Option (A)

Step-by-step explanation:

Good Luck on your test

The original series also converges.

To use the limit comparison test to determine if the series converges or diverges, we first need to find a simpler series that has a similar form to the given series. In this case, the given series is:

\(Σ (4√n / (9n^(3/2) - 10n - 3)) from n = 1 to ∞\)
We can compare it with the simpler series:

\(Σ (4√n / 9n^(3/2)) from n = 1 to ∞\)

Now, let's find the limit of the ratio of the terms of these two series as n approaches infinity:

\(lim (n -> ∞) [(4√n / (9n^(3/2) - 10n - 3)) / (4√n / 9n^(3/2))]\)
Simplify the expression:

\(lim (n -> ∞) [(9n^(3/2) - 10n - 3) / 9n^(3/2)]\)

As n approaches infinity, the highest power term (9n^(3/2)) dominates, so we can ignore the other terms:

\(lim (n -> ∞) [9n^(3/2) / 9n^(3/2)] = 1\)

Since the limit is a finite number greater than 0, the comparison series and the original series have the same convergence behavior. The comparison series is a p-series with p = 3/2 > 1, so it converges. Therefore, the original series also converges.

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The statement "Flexible exchange rates ..." is incomplete, and without further clarification, it is uncertain to determine whether it is true or false. A complete statement is required to provide a clear context for discussing the nature and implications of flexible exchange rates.

Flexible exchange rates refer to a system in which currency exchange rates are determined by market forces, such as supply and demand. Under this system, exchange rates fluctuate freely based on various economic factors, including inflation rates, interest rates, trade balances, and investor sentiment.

Flexible exchange rates offer advantages such as the ability to adjust to changing economic conditions and promote trade balance adjustments. They can also help absorb external shocks and enhance monetary policy autonomy. However, they may also introduce volatility and uncertainty in international trade and investment. To assess the accuracy of the statement, additional information or context is needed.

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Answer:

x = 35.

Step-by-step explanation:

If a is parallel to b then m<9 = m < 11 (corresponding angles),

so 3x = 105

x = 105/3

x = 35.

Answer: r - 5 = 8

Step-by-step explanation:

From the question, we are informed that Skye ran r laps today at soccer practice while Nadine ran five fewer laps than Skye.

If Nadine ran eight laps at practice, the equation that can be used to find how many laps Skye ran will be:

r - 5 = 8

This means Skye ran 13 laps

Answer:

28 should do it

Step-by-step explanation:

35+35+82= 152

180-152=28

Answer: To find the number of meters in 20,000 leagues, we first need to convert the number of leagues to miles:

20,000 leagues * 3.452 miles/league = 69,040 miles

Next, we can convert the miles to meters:

69,040 miles * 1609.3 meters/mile = 111,030,472 meters

So the number of meters in 20,000 leagues is approximately 111,030,472 meters. To round this to the nearest whole number and use it as the value of x in the title, we can round it to:

x = 111,030,472 rounded to the nearest whole number = 111,030,000 meters

Therefore, Jules can call his most recent work "111,030,000 meters under the sea".